Answer
{$5+3i,5-3i$}
Work Step by Step
Given: $(x-5)^2=-9$
Apply The Square Root Property.
This can be written as: $x-5=\sqrt{-9}$
As we know that $\sqrt{-1}=i$]
or, $x-5=\pm 3i$
or, $x=5+3i,5-3i$
Hence, solution set is $x=${$5+3i,5-3i$}
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 8 - Section 8.1 - The Square Root Property and Completing the Square - Exercise Set - Page 592: 17
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